title: Fast convergent Fourier modal method for the analysis of periodic arrays of graphene ribbons.
abstract: Li's Fourier factorization rules [J. Opt. Soc. Am. A13, 1870 (1996)] should be applied to achieve a fast convergence rate in the analysis of diffraction gratings with the Fourier modal method. I show, however, that Li's inverse rule cannot be applied for periodic patterns of graphene when the conventional boundary condition is used. I derive an approximate boundary condition in which a nonzero but sufficiently small height is assumed for the boundary. The proposed boundary condition enables us to apply the inverse rule, leading to a significantly improved convergence rate. A periodic array of graphene ribbons is in fact a special type of finite-conductivity strip grating, and thus the proposed approach is also applicable to these kinds of structures.
authors.forename: Amin
authors.initials: A
authors.lastname: Khavasi
mesh_terms: D000042:Absorption; D005583:Fourier Analysis; D006108:Graphite / Q000737:chemistry*; D055620:Optical Phenomena
chemical_list: D006108:Graphite